Classical open systems with balanced gain and loss, i.e. parity-time ( \mathcal{PT} \mathcal{PT} ) symmetric systems, have attracted tremendous attention over the past decade. Their exotic properties arise from
Now, PT symmetric optical microresonators have been demonstrated to break the bandwidth-efficiency limit for nonlinear optical signal processing. Parity-Time (PT) symmetry has emerged as a key concept in quantum mechanics, allowing non-Hermitian Hamilto- nians to exhibit entirely real eigenvalues under...
parity‐time symmetryTo achieve ultrafast neuromorphic signal processing, the realization of photonic equivalents to neuronal functions has been challenged. In article number 1900771, Namkyoo Park and co‐workers present a neuromorphic photonic system ruled by parity‐time symmetry as a building block ...
parity‐time symmetryAs an elementary processor of neural networks, a neuron performs exotic dynamic functions, such as bifurcation, repetitive firing, and oscillation quenching. To achieve ultrafast neuromorphic signal processing, the realization of photonic equivalents to neuronal dynamic functions has ...
Dynamically encircling an exceptional point (EP) in parity-time (PT) symmetric waveguide systems exhibits interesting chiral dynamics that can be applied to asymmetric mode switching for symmetric and anti-symmetric modes. The counterpart symmetry-broken
ARTICLE https://doi.org/10.1038/s42005-022-00915-1 OPEN Secure random number generation from parity symmetric radiations Toyohiro Tsurumaru1, Toshihiko Sasaki 2✉ & Izumi Tsutsui3 The random number generators (RNGs) are an indispensable tool for information security. Among various approaches, ...
Any two distinct lines are incident with exactly one common point; 3. There are four points such that no three of them are collinear. This means thatcan also be regarded as a symmetric 2--design, where the lines correspond to the blocks. Moreover, every line inis incident withpoints and...
The code words are transmitted to a noisy memoryless binary symmetric channel, where each transmitted bit, xi, may be flipped over and be received as yi, according to the following rule: P(y=0|x=1)=p,P(y=1|x=1)=1−p,P(y=1|x=0)=p,P(y=0|x=0)=1−p. Upon reception ...
For the Binary Symmetric Channel (BSC), the graphical structures which limit the performance of iterative decoders are called absorbing sets. Absorbing sets have a similar definition as trapping sets and also control the error floor behavior of message-passing decoders [8]. Over the past two ...
Each time a byte is transferred, the parity bit is checked. One-bit parity systems will detect if one of the eight bits in the byte has been erroneously switched from 1 to 0 or from 0 to 1. However, it cannot detect a two-bit error, because if two bits in the byte are reversed,...